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Popular >

simplify sqrt(x^2+25)^{ax}

Solution

simplify

x^{2} + 25^{a x}

Solution

(x^{2} + 25)^{\frac{a x}{2}}

Solution steps

(x^{2} + 25)^{a x}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((x^{2} + 25)^{\frac{1}{2}})^{a x}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (x^{2} + 25)^{\frac{1}{2} a x}

Simplify

\frac{1}{2} a x : \frac{a x}{2}

= (x^{2} + 25)^{\frac{a x}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(x^2+25)^{ax} ?
The solution to sqrt(x^2+25)^{ax} is (x^2+25)^{(ax)/2}